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solve for w. 15 = -\\frac{5}{3}w simplify your answer as much as possib…

Question

solve for w.
15 = -\frac{5}{3}w
simplify your answer as much as possible.
w =

Explanation:

Step1: Multiply both sides by 3

To eliminate the denominator, we multiply both sides of the equation \(15 = -\frac{5}{3}w\) by 3. This gives us \(15\times3 = -\frac{5}{3}w\times3\), which simplifies to \(45=-5w\).

Step2: Divide both sides by -5

Now, we divide both sides of the equation \(45 = -5w\) by -5 to solve for \(w\). So, \(\frac{45}{-5}=\frac{-5w}{-5}\), which simplifies to \(w = -9\).

Answer:

\(w = -9\)